A source of inequalities for circular functions

  • Authors:
  • Ling Zhu

  • Affiliations:
  • Department of Mathematics, Zhejiang Gongshang University Hangzhou, Zhejiang 310018, China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

In this work, a basic theorem is established and it is found to be a source of inequalities for circular functions, such as Cusa's, Huygens', Wilker's, the Sandor-Bencze, Carlson's, the Shafer-Fink inequality, and the one in the problem of Oppenheim. Furthermore, these inequalities described above will be extended by this basic theorem.